[Solution] Let be a random sample from a population with pmf . Find the method of moments estimator and MLE of 𝜃 . Find then mean squared errors of each of


Question: Let be a random sample from a population with pmf

.

  1. Find the method of moments estimator and MLE of 𝜃 .
  2. Find then mean squared errors of each of each of the estimators.
  3. Which estimator is preferred? Justify your choice.

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